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Embedded crack model: I. Basic formulation
Author(s) -
Jirásek Milan,
Zimmermann Thomas
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/1097-0207(20010228)50:6<1269::aid-nme11>3.0.co;2-u
Subject(s) - classification of discontinuities , discontinuity (linguistics) , structural engineering , crack tip opening displacement , displacement (psychology) , finite element method , crack closure , shear (geology) , closure (psychology) , constitutive equation , fracture mechanics , engineering , materials science , mathematics , mathematical analysis , composite material , market economy , psychology , economics , psychotherapist
The recently emerged idea of enriching standard finite element interpolations by strain or displacement discontinuities has triggered the development of powerful techniques that allow efficient modelling of regions with highly localized strains, e.g. of fracture zones in concrete, or shear bands in metals or soils. The present paper describes a triangular element with an embedded displacement discontinuity that represents a crack. The constitutive model is formulated within the framework of damage theory, with crack closure effects and friction on the crack faces taken into account. Numerical aspects of the implementation are discussed. In a companion paper, the embedded crack approach is combined with the more traditional smeared crack approach. Copyright © 2001 John Wiley & Sons, Ltd.